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Finding the Third Proportional to 429,280 and 932,376

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Solution

The third proportional to 429,280 and 932,376 is: 2,025,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,280 : 932,376 = 932,376 : x
  2. Step 2: Convert to fraction form
    429,280/932,376 = 932,376/x
  3. Step 3: Cross multiply
    429,280x = 932,376 × 932,376
  4. Step 4: Simplify right side
    429,280x = 869,325,005,376
  5. Step 5: Solve for x
    x = 869,325,005,376/429,280
  6. Step 6: Final answer
    x = 2,025,076.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.